4201927821 has 72 divisors (see below), whose sum is σ = 7747510680. Its totient is φ = 2174425344.

The previous prime is 4201927817. The next prime is 4201927837. The reversal of 4201927821 is 1287291024.

It can be written as a sum of positive squares in 4 ways, for example, as 59074596 + 4142853225 = 7686^2 + 64365^2 .

It is not a de Polignac number, because 4201927821 - 2² = 4201927817 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4201927811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 296935 + ... + 310763.

It is an arithmetic number, because the mean of its divisors is an integer number (107604315).

Almost surely, 2^4201927821 is an apocalyptic number.

It is an amenable number.

4201927821 is a deficient number, since it is larger than the sum of its proper divisors (3545582859).

4201927821 is a wasteful number, since it uses less digits than its factorization.

4201927821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13915 (or 13905 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 4201927821 is about 64822.2787396432. The cubic root of 4201927821 is about 1613.6754655365.

The spelling of 4201927821 in words is "four billion, two hundred one million, nine hundred twenty-seven thousand, eight hundred twenty-one".